Solutions
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Question
A certain group of car dealerships agreed to donate x dollars to a Red Cross Chapter for each car sold during a 30-day period. What was the total amount that was expected to be donated?
I. A total of 500 cars were expected to be sold
II. Sixty more cars were sold than expected so that the total amount actually donated was $28,000
Option A:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Option B:
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
Option C:
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
Option D:
EACH statement ALONE is sufficient to answer the question asked.
Option E:
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Difficulty Level
HardSolution
Option C is the correct answer.
Option Analysis
We need two things:
1. X
2. Total number of cars.
Statement I is insufficient: Total of 500 cars sold. Fine! But, we don’t know x, so donation amount cannot be computed. (Not Sufficient)
Statement II is insufficient: Let N be total number of cars: (N + 60)X = 28000
Again we don’t have N and X – Not Sufficient
Combine I and II,
560 * X = 28000
X = 2800 / 56 = 50
Total Contribution = 25000.
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